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Given an integer N. Integers A and B are chosen randomly in the range [1..N]. Calculate the probability that the Greatest Common Divisor(GCD) of A and B equals to B.
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows. Each test case consists of a single integer N on a separate line.
For each test case, output a single line containing probability as an irreducible fraction.
Input: 3 1 2 3 Output: 1/1 3/4 5/9
|Tags||Rubanenko, easy, number-theory, sept13|
|Time Limit:||3 sec|
|Source Limit:||50000 Bytes|
|Languages:||C, CPP14, JAVA, PYTH, PYTH 3.5, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, CLOJ, FS|
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